发表机构
Sharif University of Technology; Research Center for High Energy Physics, Department of Physics, Sharif University of Technology（谢里夫理工大学; 谢里夫理工大学物理系高能物理研究中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文利用旋转Petz映射，在量子纠错框架下系统纳入次领头1/N修正，建立了超越大N极限的纠缠楔重建受控方法，并强化了量子纠错在全息中的作用。
AI 中文摘要
纠缠楔重建提供了AdS/CFT中体局域性的最精确表述，将纠缠楔识别为可从边界子区域重建的最大体区域。虽然这一陈述在大N展开的领头阶已通过模流和Petz映射重建得到充分理解，但其在半经典区域之外的推广仍不清楚。在本工作中，我们证明量子纠错为解决此问题提供了自然框架。在领头阶，我们重现了已知的领头阶重建公式，并通过采用旋转Petz映射，获得了一种系统且显式的方法来纳入次领头1/N修正。超越领头近似，我们得到了由次领头Petz核控制的显式双局域修正。我们的结果为超越大N的体重建建立了受控方法，并强化了量子纠错在全息中的角色。该框架为在全量子引力背景下理解体重建提供了受控路径。
英文摘要
Entanglement wedge reconstruction provides the sharpest formulation of bulk locality in AdS/CFT, identifying the entanglement wedge as the largest bulk region reconstructible from a boundary subregion. While this statement is well understood at leading order in the large N expansion through both modular flow and Petz map reconstruction, its extension beyond the semiclassical regime has remained unclear. In this work, we show that quantum error correction provides the natural framework for addressing this problem. At leading order, we reproduce the known leading-order reconstruction formulas, and by employing the twirled Petz map, we obtain a systematic and explicit method for incorporating subleading 1/N corrections. Beyond the leading approximation, we have obtained a bi-local correction controlled by a subleading Petz kernel. Our results establish a controlled approach to bulk reconstruction beyond large N and sharpening the role of quantum error correction in holography. This framework provides a controlled path toward understanding bulk reconstruction in fully quantum gravitational settings.
Comments43 pages, references added
